Calculus generally

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Favourite

Interactive Workout - Mathmo

Age

16 to 18

Challenge level

Mathmo is a revision tool for post-16 mathematics. Give yourself a mathematical workout!
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Power Up

Age

16 to 18

Challenge level

Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x
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Population Dynamics - Part 3

Age

16 to 18

Challenge level

Third in our series of problems on population dynamics for advanced students.
problem

Population Dynamics - Part 1

Age

16 to 18

Challenge level

First in our series of problems on population dynamics for advanced students.
problem

Population Dynamics - Part 2

Age

16 to 18

Challenge level

Second in our series of problems on population dynamics for advanced students.
problem

Population Dynamics - Part 4

Age

16 to 18

Challenge level

Fourth in our series of problems on population dynamics for advanced students.
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Population Dynamics - Part 6

Age

16 to 18

Challenge level

Sixth in our series of problems on population dynamics for advanced students.
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Scientific Curves

Age

16 to 18

Challenge level

Can you sketch these difficult curves, which have uses in mathematical modelling?
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A Different Differential Equation

Age

16 to 18

Challenge level

Explore the properties of this different sort of differential equation.
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Branching Processes and Extinction

Age

16 to 18

Challenge level

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.